12465480960 has 288 divisors, whose sum is σ = 44399604480. Its totient is φ = 3311788032.

The previous prime is 12465480943. The next prime is 12465480971. The reversal of 12465480960 is 6908456421.

12465480960 is a `hidden beast` number, since 1 + 2 + 46 + 548 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12890397 + ... + 12891363.

Almost surely, 2^12465480960 is an apocalyptic number.

12465480960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12465480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22199802240).

12465480960 is an abundant number, since it is smaller than the sum of its proper divisors (31934123520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12465480960 is an equidigital number, since it uses as much as digits as its factorization.

12465480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12465480960 in words is "twelve billion, four hundred sixty-five million, four hundred eighty thousand, nine hundred sixty".